120020112010000 has 100 divisors (see below), whose sum is σ = 290626103411644. Its totient is φ = 48000542400000.

The previous prime is 120020112009989. The next prime is 120020112010009. The reversal of 120020112010000 is 10211020021.

It can be written as a sum of positive squares in 10 ways, for example, as 97939999703296 + 22080112306704 = 9896464^2 + 4698948^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120020112010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63275410 + ... + 65144590.

Almost surely, 2^{120020112010000} is an apocalyptic number.

120020112010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145313051705822).

120020112010000 is an abundant number, since it is smaller than the sum of its proper divisors (170605991401644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120020112010000 is an equidigital number, since it uses as much as digits as its factorization.

120020112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875630 (or 1875609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120020112010000 its reverse (10211020021), we get a palindrome (120030323030021).

The spelling of 120020112010000 in words is "one hundred twenty trillion, twenty billion, one hundred twelve million, ten thousand".